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# Problems on Numbers Questions

NA
SHSTTON
9
Solv. Corr.
20
Solv. In. Corr.
29
Attempted
1 M:6 S
Avg. Time

1 / 8

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In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

A8

B15

C16

D17

Explanation:

so, 8 spots have different readers.
remainings are 23-8= 15. (at least)

Workspace

NA
SHSTTON
14
Solv. Corr.
20
Solv. In. Corr.
34
Attempted
3 M:16 S
Avg. Time

2 / 8

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The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

A120

B130

C137

D145

Explanation:

let's two number are x and y (x>y)

Difference (x-y) = 9  ------- (1)

product x*y = 14 ----------- (2)

from eq. 1

(x-y)^2 = x^2 y^2 - 2xy = 81

=> x^2 y^2 = 81  2*14 = 81 28 = 109------------(3)

some of their Square  (x y)^2 = x^2 y^2 2xy

put the value from eq. 3

(x y)^2 = 109 2*14 = 109 28 = 137  (Ans)

Workspace

NA
SHSTTON
2
Solv. Corr.
15
Solv. In. Corr.
17
Attempted
0 M:0 S
Avg. Time

3 / 8

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Three non negative numbers, X, Y and Z are such that the mean is M and the median is 5. If M is 10 more than the smallest number and 15 less than the biggest number, find the value of X+Y+Z.

A15

B5

C20

D30

Explanation:

Given median=5,so y=5
x+y+z/3=10+z ---(1)
x+y+z/3=x-15 ---- (2)
By solving eq. (1) and (2) we get,
x=25,y=5,z=0
so x+y+z=30

Workspace

NA
SHSTTON
5
Solv. Corr.
15
Solv. In. Corr.
20
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4 / 8

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A company rented a machine for Rs.700/- a month. Five years later the treasurer calculated that if the company had purchased the machine and paid Rs.100/- monthly maintenance charge, the company would have saved Rs.2000/-. What was the purchase price of the machine?

ARs 24500

BRs 34500

CRs 30500

DRs 34000

Explanation:

Lets assume the price of the machine = x rupee
5 year maintenance charge = 100*60 = 6000
so total investment = x+6000
now total rental charges for five year = 700*60 = 42000
so according to given condition 42000-x-6000 = 2000 so x = 34000

Workspace

NA
SHSTTON
16
Solv. Corr.
36
Solv. In. Corr.
52
Attempted
0 M:0 S
Avg. Time

5 / 8

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If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?

A13 min

B33 min.

C31 min.

D29 min.

Explanation:

Old model is capable of printing at a rate of 4900 per hour
New model is capable of printing at a rate of 6600 per hour
Old model time taken to print 10000 cards = 10000/4900 = 100/49
New model time taken to print 10000 cards = 10000/6600 = 100/66
Old model - new model: 100/49 - 100/66 = 1700 /(49*66) = 850/(49 * 33) = 0.525 hrs => 31 mins
Therefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills

Workspace

NA
SHSTTON
21
Solv. Corr.
18
Solv. In. Corr.
39
Attempted
0 M:0 S
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6 / 8

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In an examination involving quantitative aptitude and logical reasoning, 65% examinees cleared quantitative aptitude test while 70% cleared logical reasoning test. If 50% examinees passed both the tests, then how many failed in both tests?

A35%

B15%

C30%

D20%

Explanation:

p(AUB)=p(A)+p(B)-p(AnB)
=65+70-50 =85%(the persons who cleard all)
the persons who did not clear any=100-85=15%

Workspace

NA
SHSTTON
22
Solv. Corr.
34
Solv. In. Corr.
56
Attempted
1 M:40 S
Avg. Time

7 / 8

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Three jackals Paar, Marr and Taar together have 675 loaves of bread. Paar has got three times as much as Maar but 25 loaves more than Taar. How many does Taar have?

A175

B275

C375

DNone of these

Explanation:

Lets assume maar (M) = x,
So Paar (P) = 3x
as per the question
Taar (T) = (3x-25)

As per the condition
M+P+T = x + 3x + 3x-25 = 675
7x - 25 = 675 => x=100
=> Taar (T) = 275

Workspace

NA
SHSTTON
26
Solv. Corr.
65
Solv. In. Corr.
91
Attempted
1 M:30 S
Avg. Time

8 / 8

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martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount earned by her, Instead of taking 41 as the number of cans , she wrote 14 by mistake . As a result the product went down by 135. What is the other multiplier

A5

B7

C9

D12

Explanation:

Lets assume multiplier = x
So, 41x=14x+135
=> 27x = 135
=> x = 5

Workspace

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